Question

find the distance between the points (-10, -18) and (-10, 6).
units

Explanation:

Step1: Identify the coordinates

The two points are \((x_1, y_1) = (-10, -18)\) and \((x_2, y_2) = (-10, 6)\). Since the \(x\)-coordinates are the same (\(x_1 = x_2 = -10\)), the distance between the points is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The distance \(d\) between two points with the same \(x\)-coordinate is given by \(|y_2 - y_1|\). Substituting the values, we get \(|6 - (-18)|\).
Simplify the expression inside the absolute value: \(6 - (-18) = 6 + 18 = 24\).
The absolute value of 24 is 24.

Answer:

24